scholarly journals Yangian symmetry of long-range \mathfrak {g}\mathfrak {l}(N) integrable spin chains

2008 ◽  
Vol 2008 (03) ◽  
pp. P03001 ◽  
Author(s):  
Niklas Beisert ◽  
Denis Erkal
Keyword(s):  
Long Range ◽  
Spin Chains ◽  
Integrable Spin ◽  
Integrable Spin Chains ◽  
Yangian Symmetry

scholarly journals Current operators in integrable spin chains: lessons from long range deformations

2020 ◽  
Vol 8 (2) ◽  
Author(s):  
Balázs Pozsgay
Keyword(s):  
Long Range ◽  
Exact Result ◽  
Spin Chains ◽  
Mean Values ◽  
Heisenberg Spin ◽  
Nested Bethe Ansatz ◽  
Integrable Spin ◽  
Integrable Spin Chains ◽  
The One ◽  
Heisenberg Spin Chains

We consider the finite volume mean values of current operators in integrable spin chains with local interactions, and provide an alternative derivation of the exact result found recently by the author and two collaborators. We use a certain type of long range deformation of the local spin chains, which was discovered and explored earlier in the context of the AdS/CFT correspondence. This method is immediately applicable also to higher rank models: as a concrete example we derive the current mean values in the SU(3)SU(3)-symmetric fundamental model, solvable by the nested Bethe Ansatz. The exact results take the same form as in the Heisenberg spin chains: they involve the one-particle eigenvalues of the conserved charges and the inverse of the Gaudin matrix.

scholarly journals Long-range deformations for integrable spin chains

2009 ◽  
Vol 42 (28) ◽  
pp. 285205 ◽  
Author(s):  
Till Bargheer ◽  
Niklas Beisert ◽  
Florian Loebbert
Keyword(s):  
Long Range ◽  
Spin Chains ◽  
Integrable Spin ◽  
Integrable Spin Chains

scholarly journals Low-temperature thermodynamics of A2(2) and su(3)-invariant integrable spin chains

1993 ◽  
Vol 406 (3) ◽  
pp. 681-707 ◽  
Author(s):  
Luca Mezincescu ◽  
Rafael I. Nepomechie ◽  
P.K. Townsend ◽  
A.M. Tsvelik
Keyword(s):  
Low Temperature ◽  
Spin Chains ◽  
Integrable Spin ◽  
Integrable Spin Chains

scholarly journals SUSY field theories in higher dimensions and integrable spin chains

1998 ◽  
Vol 518 (3) ◽  
pp. 689-713 ◽  
Author(s):  
A. Gorsky ◽  
G. Sukov ◽  
A. Mironov
Keyword(s):  
Higher Dimensions ◽  
Spin Chains ◽  
Field Theories ◽  
Integrable Spin ◽  
Integrable Spin Chains
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